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Basic Facts Progression
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A suggested learning progression for Basic Facts
Stage 0-1
1. One to one matching - (counting cars, animals, lampposts etc)
2. Forward counting to ten - (1 2 3 4 5 6 7 8 9 10)
3. Backward counting from ten - (10 9 8 7 6 5 4 3 2 1)
4. Finger pattern to five - (show me 3 fingers, show me 4 fingers etc)
5. ‘Numbers after’ up to 10 - (what number comes after 3? Etc)
6. ‘Numbers before’ up to 10 - (what number comes before 7? Etc)
Stage 2-3
7. Forward counting to 20 - (from 1-20, from 13-20 etc.)
8. Backward counting from 20 - (from 20, from 14 etc.)
9. Recall of addition facts to 5 - (2+1, 1+2, 2+3, 3+2, 1+1 etc.)
10. Subtraction facts from 5 - (5-3, 5-2 etc.)
11. Groupings with 5 to 10 - (5+1, 5+2)
12. Doubles and halves to 10 - (4+4, 3+3 etc.)
13. Skip counting in 2s to 20 - (2,4,6,8 etc. and 1,3,5,7 etc.)
Stage 4
14. Written recording - (can write the digits 0-9)
15. Addition facts to 10 - (3+7, 7+3,4+5, 5+4 etc.)
16. Subtraction facts to 10 - (10-6, 10-4, 10-3, 10-7 etc.)
17. Doubles and halves to 20 - (6+6, 9+9, half of 14 is 7 etc.)
18. Ten + facts to 20 - (10+3=13, 7+10=17)
19. Skip count in 10s to 100 - (10, 20, 30, 40 etc)
20. Multiples of 10 that add to 100 - (40+60, 30+70)
Stage 5
21. Addition facts to 20 - (13+3, 9+8, 11+6, 6+□=20)
22. Subtraction facts from 20 - (20-7, 20-3, 20-16 etc)
23. Multiplication facts of 2 - (2x4=□, □x2=16 etc)
24. Multiplication facts of 5 - (5x□=25, 9x5=□ etc)
25. Multiplication facts of 10 - (10x□=70, 9x10=□ etc)
26. Division facts of 2 - (18÷2=□, □÷2=8 etc)
27. Division facts of 5 - (45÷5=□, □÷5=6 etc)
28. Division facts of 10 - (80÷10=□, □÷10=7 etc)
29. Groups of 100s that add to 1000 - (400+□=1000, □+700=1000 etc)
30. Groups of 100s that are subtracted from 1000 - (1000-□=200, 1000-□=400 etc)
31. Rounding to the nearest ten - (67=70, 389=390, 105=110 etc)
32. Rounding to the nearest hundred - (354=400, 4634=4600 etc)
Stage 6
33. Subtraction facts up to 20 - (19-6, 13-4, 16-9 etc)
34. Multiplication facts for 3, 4 and 6 - (3x4, 6x8, 4x10 etc)
35. Multiplication facts for 7, 8 and 9 - (3x7, 8x6, 9x4 etc)
36. Division facts for 3 and 4 - (18÷3, 32÷4 etc)
37. Division facts for 6 and 9 - (24÷6, 81÷9 etc)
38. Multiplication facts of 10’s - (10x60, 10x14, 21x10 etc)
39. Multiplication facts of 100’s - (100x60, 100x14, 21x100 etc)
40. Multiplication facts of 1000’s - (1000x60, 1000x14, 21x1000 etc)
41. Rounding up to 2 decimal places to nearest whole number- (Money – $6.49 to $6.00)
42. Division facts for 7 and 8 - (63÷7, 48÷8 etc)
Stage 7
43. Convert ½, ¼, 1/5 1/10 to percentages and vice versa - (1/2 = 50%, 10% = 1/10)
44. Convert ½, ¼, 1/5 1/10 to decimals and vice versa - (1/2 = 0.5, 1/10 = 0.1)
45. Convert 50%, 25%, 10%, 20% to decimals and vice versa- (50% = 0.5, 0.2 = 20%)
46. Square numbers to 100 - (92
=9x9=81, 42
=4x4=16 etc)
47. Common multiples of numbers to 10 - (5 and 7 = 35, 70, 105 etc)
48. Rounding to the nearest tenth - (8.23=8.2, 6.55=6.6 etc)
49. Identify factors of numbers to 100 - (81 = {1,81,3,27,9})
50. Know the dividing rules for 2,3,5,9,10 - (See dividing rules sheet)
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Stage 0-1
1. One to one matching - (counting cars, animals, lampposts etc)
2. Forward counting to ten - (1 2 3 4 5 6 7 8 9 10)
3. Backward counting from ten - (10 9 8 7 6 5 4 3 2 1)
4. Finger pattern to five - (show me 3 fingers, show me 4 fingers etc)
5. ‘Numbers after’ up to 10 - (what number comes after 3? Etc)
6. ‘Numbers before’ up to 10 - (what number comes before 7? Etc)
Stage 2-3
7. Forward counting to 20 - (from 1-20, from 13-20 etc.)
8. Backward counting from 20 - (from 20, from 14 etc.)
9. Recall of addition facts to 5 - (2+1, 1+2, 2+3, 3+2, 1+1 etc.)
10. Subtraction facts from 5 - (5-3, 5-2 etc.)
11. Groupings with 5 to 10 - (5+1, 5+2)
12. Doubles and halves to 10 - (4+4, 3+3 etc.)
13. Skip counting in 2s to 20 - (2,4,6,8 etc. and 1,3,5,7 etc.)
Stage 4
14. Written recording - (can write the digits 0-9)
15. Addition facts to 10 - (3+7, 7+3,4+5, 5+4 etc.)
16. Subtraction facts to 10 - (10-6, 10-4, 10-3, 10-7 etc.)
17. Doubles and halves to 20 - (6+6, 9+9, half of 14 is 7 etc.)
18. Ten + facts to 20 - (10+3=13, 7+10=17)
19. Skip count in 10s to 100 - (10, 20, 30, 40 etc)
20. Multiples of 10 that add to 100 - (40+60, 30+70)
Stage 5
21. Addition facts to 20 - (13+3, 9+8, 11+6, 6+□=20)
22. Subtraction facts from 20 - (20-7, 20-3, 20-16 etc)
23. Multiplication facts of 2 - (2x4=□, □x2=16 etc)
24. Multiplication facts of 5 - (5x□=25, 9x5=□ etc)
25. Multiplication facts of 10 - (10x□=70, 9x10=□ etc)
26. Division facts of 2 - (18÷2=□, □÷2=8 etc)
27. Division facts of 5 - (45÷5=□, □÷5=6 etc)
28. Division facts of 10 - (80÷10=□, □÷10=7 etc)
29. Groups of 100s that add to 1000 - (400+□=1000, □+700=1000 etc)
30. Groups of 100s that are subtracted from 1000 - (1000-□=200, 1000-□=400 etc)
31. Rounding to the nearest ten - (67=70, 389=390, 105=110 etc)
32. Rounding to the nearest hundred - (354=400, 4634=4600 etc)
Stage 6
33. Subtraction facts up to 20 - (19-6, 13-4, 16-9 etc)
34. Multiplication facts for 3, 4 and 6 - (3x4, 6x8, 4x10 etc)
35. Multiplication facts for 7, 8 and 9 - (3x7, 8x6, 9x4 etc)
36. Division facts for 3 and 4 - (18÷3, 32÷4 etc)
37. Division facts for 6 and 9 - (24÷6, 81÷9 etc)
38. Multiplication facts of 10’s - (10x60, 10x14, 21x10 etc)
39. Multiplication facts of 100’s - (100x60, 100x14, 21x100 etc)
40. Multiplication facts of 1000’s - (1000x60, 1000x14, 21x1000 etc)
41. Rounding up to 2 decimal places to nearest whole number- (Money – $6.49 to $6.00)
42. Division facts for 7 and 8 - (63÷7, 48÷8 etc)
Stage 7
43. Convert ½, ¼, 1/5 1/10 to percentages and vice versa - (1/2 = 50%, 10% = 1/10)
44. Convert ½, ¼, 1/5 1/10 to decimals and vice versa - (1/2 = 0.5, 1/10 = 0.1)
45. Convert 50%, 25%, 10%, 20% to decimals and vice versa- (50% = 0.5, 0.2 = 20%)
46. Square numbers to 100 - (92
=9x9=81, 42
=4x4=16 etc)
47. Common multiples of numbers to 10 - (5 and 7 = 35, 70, 105 etc)
48. Rounding to the nearest tenth - (8.23=8.2, 6.55=6.6 etc)
49. Identify factors of numbers to 100 - (81 = {1,81,3,27,9})
50. Know the dividing rules for 2,3,5,9,10 - (See dividing rules sheet)